Answer:
Graph B is the correct answer.
Step-by-step explanation:
To find the greatest rate of change of the graph we will find the slope of each graphs.
Option A.
Points lying on the line are (0, 0) and (4, 1)
Therefore slope = [tex]\frac{1-0}{4-0}=\frac{1}{4}=0.25[/tex]
Option B.
Points lying on the graph B are (0, 0) and (1, 4)
therefore slope of the line = [tex]\frac{4-0}{1-0}=4[/tex]
Option C.
Points lying on the graph are (0, 0) and (2, 1)
slope = [tex]\frac{1-0}{2-0}=\frac{1}{2}=0.5[/tex]
Option D.
Pint lying on the graph are (0, 0) and (4, 8)
slope = [tex]\frac{8-0}{4-0}=2[/tex]
Therefore Graph B is having the maximum slope or greatest rate of change.
